First slide

Kinetic theory of ideal gases

Question

The average speed v and r.m.s. speed V_RMS of the molecules are related as

Moderate

A

$v_{R M S} = 0.92 v$
B

$v_{R M S} = 0.29 v$
C

$v_{R M S} = v$
D

$v = 0.92 v_{R M S}$

Solution

$v = \sqrt{\frac{8 RT}{π M}} v_{RMS} = \sqrt{\frac{3 RT}{M}}$
$\frac{v}{v_{R M S}} = \sqrt{\frac{8}{3 π}} = 0.92$

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